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The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs. 25 per m²
Question

The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs. 25 per m².

A.

Rs. 4,928

B.

Rs. 4,982

C.

Rs. 4,298

D.

Rs. 4,289

Correct option is A

Given:
Shape of the dome: Hemisphere
Radius r = 560 cm
Cost of painting per square meter = Rs. 25
Formula Used:
Curved Surface Area of Hemisphere:
CSA = 2πr22 \pi r^2​​
Cost of Painting:
Cost = CSA in m2×Rate per m2\text{CSA in m}^2 \times \text{Rate per m}^2​​
1 m2=10,000 cm21 \text{ m}^2 = 10,000 \text{ cm}^2 ​​
Solution:

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